{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.00632</td>\n",
       "      <td>18.0</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0</td>\n",
       "      <td>0.538</td>\n",
       "      <td>6.575</td>\n",
       "      <td>65.2</td>\n",
       "      <td>4.0900</td>\n",
       "      <td>1</td>\n",
       "      <td>296</td>\n",
       "      <td>15.3</td>\n",
       "      <td>4.98</td>\n",
       "      <td>24.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.02731</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>6.421</td>\n",
       "      <td>78.9</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17.8</td>\n",
       "      <td>9.14</td>\n",
       "      <td>21.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.02729</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>7.185</td>\n",
       "      <td>61.1</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17.8</td>\n",
       "      <td>4.03</td>\n",
       "      <td>34.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.03237</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.998</td>\n",
       "      <td>45.8</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18.7</td>\n",
       "      <td>2.94</td>\n",
       "      <td>33.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.06905</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>7.147</td>\n",
       "      <td>54.2</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18.7</td>\n",
       "      <td>5.33</td>\n",
       "      <td>36.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      CRIM    ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD  TAX  PTRATIO  \\\n",
       "0  0.00632  18.0   2.31     0  0.538  6.575  65.2  4.0900    1  296     15.3   \n",
       "1  0.02731   0.0   7.07     0  0.469  6.421  78.9  4.9671    2  242     17.8   \n",
       "2  0.02729   0.0   7.07     0  0.469  7.185  61.1  4.9671    2  242     17.8   \n",
       "3  0.03237   0.0   2.18     0  0.458  6.998  45.8  6.0622    3  222     18.7   \n",
       "4  0.06905   0.0   2.18     0  0.458  7.147  54.2  6.0622    3  222     18.7   \n",
       "\n",
       "   LSTAT  MEDV  \n",
       "0   4.98  24.0  \n",
       "1   9.14  21.6  \n",
       "2   4.03  34.7  \n",
       "3   2.94  33.4  \n",
       "4   5.33  36.2  "
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#dpath = \"./data\"\n",
    "df = pd.read_csv(\"boston.csv\")\n",
    "\n",
    "#显示前5行\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 506 entries, 0 to 505\n",
      "Data columns (total 13 columns):\n",
      "CRIM       506 non-null float64\n",
      "ZN         506 non-null float64\n",
      "INDUS      506 non-null float64\n",
      "CHAS       506 non-null int64\n",
      "NOX        506 non-null float64\n",
      "RM         506 non-null float64\n",
      "AGE        506 non-null float64\n",
      "DIS        506 non-null float64\n",
      "RAD        506 non-null int64\n",
      "TAX        506 non-null int64\n",
      "PTRATIO    506 non-null float64\n",
      "LSTAT      506 non-null float64\n",
      "MEDV       506 non-null float64\n",
      "dtypes: float64(10), int64(3)\n",
      "memory usage: 51.5 KB\n"
     ]
    }
   ],
   "source": [
    "df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(506, 13)\n"
     ]
    }
   ],
   "source": [
    "print(df.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Index(['CRIM', 'ZN', 'INDUS', 'CHAS', 'NOX', 'RM', 'AGE', 'DIS', 'RAD', 'TAX',\n",
      "       'PTRATIO', 'LSTAT', 'MEDV'],\n",
      "      dtype='object')\n"
     ]
    }
   ],
   "source": [
    "print(df.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>3.613524</td>\n",
       "      <td>11.363636</td>\n",
       "      <td>11.136779</td>\n",
       "      <td>0.069170</td>\n",
       "      <td>0.554695</td>\n",
       "      <td>6.284634</td>\n",
       "      <td>68.574901</td>\n",
       "      <td>3.795043</td>\n",
       "      <td>9.549407</td>\n",
       "      <td>408.237154</td>\n",
       "      <td>18.455534</td>\n",
       "      <td>12.653063</td>\n",
       "      <td>22.532806</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>8.601545</td>\n",
       "      <td>23.322453</td>\n",
       "      <td>6.860353</td>\n",
       "      <td>0.253994</td>\n",
       "      <td>0.115878</td>\n",
       "      <td>0.702617</td>\n",
       "      <td>28.148861</td>\n",
       "      <td>2.105710</td>\n",
       "      <td>8.707259</td>\n",
       "      <td>168.537116</td>\n",
       "      <td>2.164946</td>\n",
       "      <td>7.141062</td>\n",
       "      <td>9.197104</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.006320</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.460000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.385000</td>\n",
       "      <td>3.561000</td>\n",
       "      <td>2.900000</td>\n",
       "      <td>1.129600</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>187.000000</td>\n",
       "      <td>12.600000</td>\n",
       "      <td>1.730000</td>\n",
       "      <td>5.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.082045</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>5.190000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.449000</td>\n",
       "      <td>5.885500</td>\n",
       "      <td>45.025000</td>\n",
       "      <td>2.100175</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>279.000000</td>\n",
       "      <td>17.400000</td>\n",
       "      <td>6.950000</td>\n",
       "      <td>17.025000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.256510</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>9.690000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.538000</td>\n",
       "      <td>6.208500</td>\n",
       "      <td>77.500000</td>\n",
       "      <td>3.207450</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>330.000000</td>\n",
       "      <td>19.050000</td>\n",
       "      <td>11.360000</td>\n",
       "      <td>21.200000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>3.677082</td>\n",
       "      <td>12.500000</td>\n",
       "      <td>18.100000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.624000</td>\n",
       "      <td>6.623500</td>\n",
       "      <td>94.075000</td>\n",
       "      <td>5.188425</td>\n",
       "      <td>24.000000</td>\n",
       "      <td>666.000000</td>\n",
       "      <td>20.200000</td>\n",
       "      <td>16.955000</td>\n",
       "      <td>25.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>88.976200</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>27.740000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.871000</td>\n",
       "      <td>8.780000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>12.126500</td>\n",
       "      <td>24.000000</td>\n",
       "      <td>711.000000</td>\n",
       "      <td>22.000000</td>\n",
       "      <td>37.970000</td>\n",
       "      <td>50.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             CRIM          ZN       INDUS        CHAS         NOX          RM  \\\n",
       "count  506.000000  506.000000  506.000000  506.000000  506.000000  506.000000   \n",
       "mean     3.613524   11.363636   11.136779    0.069170    0.554695    6.284634   \n",
       "std      8.601545   23.322453    6.860353    0.253994    0.115878    0.702617   \n",
       "min      0.006320    0.000000    0.460000    0.000000    0.385000    3.561000   \n",
       "25%      0.082045    0.000000    5.190000    0.000000    0.449000    5.885500   \n",
       "50%      0.256510    0.000000    9.690000    0.000000    0.538000    6.208500   \n",
       "75%      3.677082   12.500000   18.100000    0.000000    0.624000    6.623500   \n",
       "max     88.976200  100.000000   27.740000    1.000000    0.871000    8.780000   \n",
       "\n",
       "              AGE         DIS         RAD         TAX     PTRATIO       LSTAT  \\\n",
       "count  506.000000  506.000000  506.000000  506.000000  506.000000  506.000000   \n",
       "mean    68.574901    3.795043    9.549407  408.237154   18.455534   12.653063   \n",
       "std     28.148861    2.105710    8.707259  168.537116    2.164946    7.141062   \n",
       "min      2.900000    1.129600    1.000000  187.000000   12.600000    1.730000   \n",
       "25%     45.025000    2.100175    4.000000  279.000000   17.400000    6.950000   \n",
       "50%     77.500000    3.207450    5.000000  330.000000   19.050000   11.360000   \n",
       "75%     94.075000    5.188425   24.000000  666.000000   20.200000   16.955000   \n",
       "max    100.000000   12.126500   24.000000  711.000000   22.000000   37.970000   \n",
       "\n",
       "             MEDV  \n",
       "count  506.000000  \n",
       "mean    22.532806  \n",
       "std      9.197104  \n",
       "min      5.000000  \n",
       "25%     17.025000  \n",
       "50%     21.200000  \n",
       "75%     25.000000  \n",
       "max     50.000000  "
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#目标y的直方图/分布\n",
    "fig = plt.figure()\n",
    "sns.distplot(df[\"MEDV\"], bins = 30, kde = True)\n",
    "plt.xlabel(\"Median value of owner-occupied homes\", fontsize = 12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#使用dataframe的hist()方法也可以绘制直方图\n",
    "features = [\"MEDV\", \"CRIM\"]\n",
    "df[features].hist();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "_,axes = plt.subplots(1, 2, sharey=True, figsize = (6, 4))\n",
    "sns.boxplot(data=df[\"MEDV\"], ax = axes[0]);\n",
    "sns.violinplot(data = df[\"MEDV\"], ax = axes[1]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"CRIM\"], bins = 30, kde = False)\n",
    "plt.xlabel(\"crime rate\", fontsize = 12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"ZN\"], bins = 30, kde = False)\n",
    "plt.xlabel(\"proportion of residential land zoned\", fontsize = 12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"INDUS\"], bins = 30, kde = False)\n",
    "plt.xlabel(\"proportion of non-retail business acres\", fontsize = 12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'data' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-45-9f77171632ad>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mdata\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m\"CHAS\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mvalue_counts\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m: name 'data' is not defined"
     ]
    }
   ],
   "source": [
    "data[\"CHAS\"].value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df[\"CHAS\"], order = [0, 1]);\n",
    "plt.xlabel(\"Charles River\");\n",
    "plt.ylabel(\"Number of occurences\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"NOX\"], bins = 30, kde = False)\n",
    "plt.xlabel(\"nitric oxides concentratio\", fontsize = 12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"RM\"], bins = 30, kde = False)\n",
    "plt.xlabel(\"average number of rooms per dwelling\", fontsize = 12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"AGE\"], bins = 30, kde = False)\n",
    "plt.xlabel(\"proportion of owner-occupied units built prior to 1940\", fontsize = 12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"DIS\"], bins = 30, kde = False)\n",
    "plt.xlabel(\"weighted distances to five Boston employment centres\", fontsize = 12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.countplot(df[\"RAD\"])\n",
    "plt.xlabel(\"index of accessibility to radial highways\", fontsize = 12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"TAX\"], bins = 20, kde = False)\n",
    "plt.xlabel(\"full-value property-tax rate per $10,000\", fontsize = 12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df[\"PTRATIO\"]);\n",
    "plt.xlabel(\"pupil-teacher ratio by town\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#fig = plt.figure()\n",
    "#sns.distplot(df[\"B\"], bins = 30, kde = False)\n",
    "#plt.xlabel(\"propertion of blocks\", fontsize = 12)\n",
    "#plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"LSTAT\"], bins = 30, kde = False)\n",
    "plt.xlabel(\"lower status of the population\", fontsize = 12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1a19442b00>"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#get the name of all the columns\n",
    "cols = df.columns\n",
    "\n",
    "#Calulates pearson co-efficient for all combinations,通常认为关系系数大于0.5的为强相关\n",
    "data_corr = df.corr()\n",
    "sns.heatmap(data_corr, annot = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(13, 13)"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_corr.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x648 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#得到相关系数的绝对值，通常认为相关系数的绝对值大于0.5的特征为强相关\n",
    "data_corr = data_corr.abs()\n",
    "plt.subplots(figsize=(13,9))\n",
    "sns.heatmap(data_corr, annot = True)\n",
    "\n",
    "#mask unimportant feature, 突出重要信息\n",
    "sns.heatmap(data_corr, mask = data_corr < 0.5, cbar = False)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RAD adn TAX = 0.91\n",
      "NOX adn DIS = 0.77\n",
      "INDUS adn NOX = 0.76\n",
      "AGE adn DIS = 0.75\n",
      "LSTAT adn MEDV = 0.74\n",
      "NOX adn AGE = 0.73\n",
      "INDUS adn TAX = 0.72\n",
      "INDUS adn DIS = 0.71\n",
      "RM adn MEDV = 0.70\n",
      "NOX adn TAX = 0.67\n",
      "ZN adn DIS = 0.66\n",
      "INDUS adn AGE = 0.64\n",
      "CRIM adn RAD = 0.63\n",
      "RM adn LSTAT = 0.61\n",
      "NOX adn RAD = 0.61\n",
      "INDUS adn LSTAT = 0.60\n",
      "AGE adn LSTAT = 0.60\n",
      "INDUS adn RAD = 0.60\n",
      "NOX adn LSTAT = 0.59\n",
      "CRIM adn TAX = 0.58\n",
      "ZN adn AGE = 0.57\n",
      "TAX adn LSTAT = 0.54\n",
      "DIS adn TAX = 0.53\n",
      "ZN adn INDUS = 0.53\n",
      "ZN adn NOX = 0.52\n",
      "PTRATIO adn MEDV = 0.51\n",
      "AGE adn TAX = 0.51\n"
     ]
    }
   ],
   "source": [
    "threshold = 0.5\n",
    "\n",
    "corr_list = []\n",
    "\n",
    "size = data_corr.shape[0]\n",
    "\n",
    "for i in range(0, size):\n",
    "    for j in range(i+1, size):\n",
    "        if (data_corr.iloc[i, j] >= threshold and data_corr.iloc[i, j] < 1) or (data_corr.iloc[i, j] < 0 and data_corr.iloc[i, j] > -1):\n",
    "            corr_list.append([data_corr.iloc[i, j], i, j])\n",
    "            \n",
    "s_corr_list = sorted(corr_list, key = lambda x: -abs(x[0]))\n",
    "\n",
    "for v, i, j in s_corr_list:\n",
    "    print(\"%s adn %s = %.2f\" % (cols[i], cols[j], v))\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1a19459b00>"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(df[\"RM\"], df[\"MEDV\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.jointplot(x = \"RM\", y = \"MEDV\", data = df, kind = \"scatter\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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pWBUWXjq3hPte2cYN557EsPxsLitfz/Q71/DNZespGT2YvCxHQvGLZn8oZeWWZn/QUsif1reyv76VQ74ANl1Dn5+qxhcWfuPms1l9zRkMznVT1ejj4knFljUFmnwmx+Z7uesbp7L2J9M5dcTAJMFHK7fsqm62FHJNk58frXyPFr+93NpV9HZ2a48QDRX0+4NsrWqiYmc1T5WVEkpRU8BUxRHJLgiZSmvA5MTBOTxVVsqe2sTKLS/8a1+S62vxnEksf/PjiJ+1l/7oPkhvJgzuAhqAEBBU1cltnhfgXuBCoBm4SlU3Hs17VjX5qW1s4bzxxxAwFVeKmgJet4P9h3wJAlwyt4RhAzzc8PR7Ce2/8vljIrEAh2MD7n91G7NKRrBuRw1Zrj5/8+oxei0VOyLWyVauscjzFwLXExbr6cC9qnp6e9fsaO/WmsZW9tYfFuGimWMpGT04aUFgULbLMht2ZdlUapr9Ce0fu3oKZ9/1etJ7rVo4lRyP0965sHOkdyp2J7gYeDSSe7VeRPJF5BhV3fdZL9gaMBNs1EXPb2HRzLEJdQJcDqHJb+3uCpgmYwbntGlvvYJ1bL6XYQOybKF2Ib0pVgVeEhEFlkby/+MZDuyOO66MnPvMYrWqe7Xo+S2c/blhzHnwn7HnXv7RmZYCDISUmpYAwwuyY+dNU3l6YSnBEIQitq7TAUPzbKF2Nb1pUE1T1UmE6wd8T0TObPO81SedZLOISJmIbBCRDVVV7QeEOVPkWjkNYWlc9uuqDZ8kZcMunjOJ8te343EKe2qb+bimiT21zfj9IaobA1yxLOz+umLZeqobA9S3+Pi4psneYrML6dXyQbFOiCwCGlX1rrhzS4E1qvpk5HgrML09M6AjmzVVrdYcF5gY7D4YDh9s9ocYNdiLqYIzslXmsrU7GHdMbpKNG82MbTsKPzm/lC/d8Zpd1aVzpK/NKiI5gKGqDZHH5xPO9YrnOeA6EXmK8ASr/mjsVQCXy8HYIbkJNmeh183+Jh9XxpkBEBbcrRefwolDcjnvnrUUF3j5wbknJQgzbMemdn+9esNZsV1g7C02j57eslmHAs9EivQ6gSdU9cVokQtVXUI47ftC4CPCrqt5XfHGLpcjwebcW9dCVYPPUnDHFWbjcghv3Hw22W6DQ63JE69U1V4MEc66e03MhHDaIQJHTa+IVVV3AKdanF8S91iB73V3XwIhk5omv6XgHIZwzfKNVDX6Yi6ttu1e3Zy8KPDA3BKa/QFWlJXG/K529NXR0++NKKchrK7Yzd3fODVpY2JTwxOj6DKs120kTbxKRg/muEIPK8pKef2m6awoK6Uo14XDcFCU5+GEolx+fP4Y7ErvR09aTLC6io4mWFZUN7Syt76VbLcDj9ORsNvg9LFDAbhi2T8BeOvn5xAwTUxTMDUcpWUYyr0vf8S6HTUsmVvCiEEe6ppDVDX4qGnys7piN9edcxLHDsxicF5GBKr1Buk7wUonnA4YnOemtjGQEFx9+6wJPPTGTn71tfEs/VYJhTlu/CHF7TDwq4KCL2hS/vp2VlZUAnDfKx/ygxljYhm10QivghwXvqCJ3x/E7T78L2+vcIZNMv3eDGjymXxS05KUsn3z6k3Mmzaa2uZw3YHZS97k8vL1bK9q4von3iFkKuf+/9djQgWYVTLCMvX7X3sOcVn5erZWNeH3BwG73NBnod+LNWgqHqdh6Q0YNjDLMiVm4fQTYsUx4mmbYRB9TTR4+5rlFVRFNoBLVTjD3iAuNf1erF6Xg4Fel+XKliGSUny7qhuTJlvRDIO216lrCcReG4yMnO0VzrCxpt+LFeC2F/6d5A1YPGcSIliKz2EIk44rYIDXycPzpvDqDWfx8LwpuJzC0m8lCvj2WRNYsmZ77NgZsUldFrlfxQVeXPYqV0r6/QQrEApnt1Y1+Lnt659n2MAsspwO9tW3cv8rH3H7rAkJpYHunD2BojwPLQGTOcuSV71WL5wau47LYfCbv2yOVSNcMreEwdnhbYqchvD7b57GwaZAbIl3UI4rJmabZPq9WKMJhe/srmPu/7wFhDdymzmxmHU7wtsYPDxvCq7INoN1zX4UUmYZiMBxhTnhCCxD+MGMMVz9xeNp9odwGtAYCOLxOAkETVoDJrc8+37si3D3N04lYAe9pKTf33OiVVvib91nnjyUip3VrF44lSvPGMVVD73FWXeuYc6D/6TRFxZddJk1ngVfGsWBBn8sAuvy8vWYqqyuqGTew2/z3UcrwqXigyYhJSHroLK2hRuefs9Og2mHfj+yGoZQkONKSEuJ5ledO/6YpHKWj6wL+17F0KRl1mhh4oQExMc38uh3prCyojI8wQqZHGj0oSm2O+pLizRdTb8XK4AqsRquUcLeALj6i8fHRsDorVoEfvvyR9z45TGxCC5DJOWmxo6IHRqdQAVDJl63k/PHDUkoW7S6YjfuTkS89NfFBFuswOBst2UwCojlrXplWSnrdtQw5b9fjV2juMDLU2WlKSOwokIHcDoM8rOcXD9jTFJSYoG3/XIM8dt8ti1l1NcF2+9jA6L4fEGqm/2xONfB2eE41zPvWJPUdu1N06lrCSQVIB6W52F7dVNSkbbjB+fwbmU9qyt286uvjSfP66C+OcStz3+QNLL+5pIJ7e5BcKChlV8+86+k1/3XJZ9nSObGHtixAUeCx+NkuCfx3+Fotg4dNAzhL+8lFmNbteETvj1tNLkeJ7defErMHZXrcXKgwcetz2+OmRBNPhNQys48gR+ueDcm7N9eNhHTbN8bEDJNy0rboXaWaQOBEAcafRm/eXK/9wa0h9ftSNpy6M7ZE3AZwldPTSzG9tVTh4PC717dhj+yfaY/ZPK7V7fFBJzlMgiaSjCkmEpMqBA2MX644t0ONxczTSwrbaeKKQgEQmw90Mhl5es568414RiFA40EAqlXytJ1P68eH1lFZATwKDCM8MZv5ap6b5s204FngZ2RU39U1bZpL91OvtfN0AFZCSPloBw3QVWWv/lxUpnL62ecyPdnjEmo63r7rAn8eOV7sYWBx797OhrZacAy3bsDP2uqTZNT6am6yZ8U37BweQVPL5jKMRZpNulsE/eGGRAEblDVjZFtNStE5GVV3dym3d9VdWYv9C+GYQijCnPIy3LR4g8SNJXbXvg3N315LOt21CREXBUXeLl+xklkuQyenB+uILjl04aYGwzCQgmZSl6WE3/Q5LUbz8JhGPgCQXZUN7O6YjeGIQmzfRHBIWAYBoU5bjwu66qInhSVX/wh0/pLkWLz5JomP3/auDvJxPnumSf2+n5ePW4GqOq+aBmgyLaa/yZcDyAtidbJMgzhthf+zaySEYAmb1w8p4RXNu8LB2RLeDn11uc3x4QabTcgy8n+Qz4uK1/P2Xe9zjeXrac1YLJxVw3fnzGGLKfB5n2HYqGDly59k4+qmvjFM5vYur+BQd7kqojLrpzM4BxrIaXa6jPVKCmopYkjabDrTK96A0RkFLAWOEVVD8Wdnw6sJlzYYi9wo6p+0NH1jsYb0BGf1rewM26mv2jmWM4dfwz+4OHMggsnDOevm/Ywd+poHAbsrG5OmgiNLszmUovU7Ue/M4Ur//AWqxZO5T+efT9ptn/Tl8dy59+2cNus8N7OLf4QIYUsl8HgHE9K8e2vb2FHCg/FUIvy8Xtqw5t+tH3/X31tfEKiZReT3t4AEcklLMgfxgs1wkbgOFVtjNS8+hNwUorrlAFlACNHjuy2/rqcQrbbkWC/NvkC5Hpc7KtvZdKoQn7/2jbmTRuN0xG+fT6ybmfS6tcvvjou5cJBOETQerbvD5lce/aJ7KtvZcFjFQn2ZKpRFcJVYrxt+u11OzBVLRcXUu3rlQ45ZL1VN8BFWKiPq+of2z4fL15V/auILBaRwSn2NygHyiE8snZXnwu8HuqzghxsOlwc2GU4CKnS0Bok3+viiinHUZjr5p6XPuSG88cwb9ropBEteltOyqSNLBwYhpDjdrD86tNxGOFcryfW72LO1NHsrWvhhU17O21PRmfxi1/7iFklI8jGgT9ksvi1j1h00XjLidSgbJfllywdsnN73AyIlLJ8BDioqj9M0WYYsF9VVUSmAKsIj7TtdrY7zQCwXuY0TWV/QytBUwmElPLXt7NuRw1/uvYMDjb72VPbGhvRhhdkMTDLZXlbHjU4m13VzRw/OIdZS95MeK4w143LYZDtMjjQ4OeauMWIB+ZM4hiLZMTorL4w28XuuhZ+8NRhf+69l09kRL6Xr0feJ0pxgZeVC6ays7opaWQ9oSiHYd2360ynxu3eEOsXgb8D/4KYW/HnwEgI1w4QkeuAawh7DlqAH6vquo6u3d1iTcWn9S3sP9SaEJt68rBcDrUGcBoODAFTIWiGKPC6+bRN20E5LoYMyKLRF2TL3jquf2pT7NrFBeEK3MUFXgywtHdXlpVSlOtJcPznZjn46n1v8Kdrz6C22U9l3JemuCCLgmw3k3/zStLf8vefTOfW5zfbNiuAqv6DDjqnqvcD9/dMj44eX9Bk0XObWTj9hNitdm9dK+Vrtyd96L+cOS6p7aLnNnPv5RPJ9TgShAphe7Yoz4MhEAhZ+1g9LsOyhtfj352CYYDb5WDEoOzYl8blFAyDlHEMVjZrOoQd2MutXYDbYVDV6EvYAv78cUP4wbljkiZDWS5HUtvoZhpjhuZaCqjVHyLLaaS0d9vWnY0mJ64oK0UBl0MwCNu/LhEcjnCkWdssiOhEymqFbEVZ6Wf+//j9QaqaDsddFOW4E1LSO4u93NoFFOV6WNLG7/r9GWMYU5Qb23jjmWuncfLQPAbneJLytJbMLeGEITk4DbFc3h2U6yakmvL5VKGJQVOpbQqSFZfXpcDqtytpDZixidSKslJumTmOR9btRNV6Ze2zEt3HIWG5Ny4l/UiwR9YuwOk0GDs0j5ULphIMmTgdBkNyPTidBkUWASNFeR6Wzi0hJ8tJMKS0+INsP9DE8UU53PHi1oSZ+B0vbuW3l0/EGVnZGpTjSnBDZbsdsbqzbUdcpyHMefCfPP7d0znrzjUJfbji9JFcd85JSZFjnhR70XYmztaKqiZ/ylF/+BGOrrZYuwin0+h0SctA0OSrv/sHN5x7EpeUFONyuBiY7cYQLE0EpyHc+7/bYiWKcj1OzMjEOD/bRZbTYPGcSUnCy4rUQ7CqdGgCAyPZuTFbNqLHZVdOTnJpFea4P9P/pb1R/0ixxdoLRJMU7/7fbVx02vDYqPfiD75oLTqXwcLpJzD/zONZteET5k4dTSBkYio4DYPmQMhSeI2RyKo/baxMCi4PmiZhT3+caEQYmOViUI7Hcgfwz0J7o/6RYgdf9wLxkU1PlZVyecQdddqIfO6Y/XlEjJjo3E5hf70PUzXmq83PdqOmEtJwKrk/aLJqwyfMnjwyYbFg0qhCFjxWQXGBl+euO4MWvxmXghOiMNdNQ0uoW+Nc65pb2V3rS/JUjCjwkJ8d8w2np5+1O8kUscLhBQbTNBMWCc4fN4SffuVzOA3BYQiNvgB763wJPtnh+V6qGg+XHzp/3BCuP+ekhMWCO2dP4I4Xt1LV6OP2WRM4viibQy0BBnrd/HtfA8cVZjOqMKfbw/7qmlvxhxR/UAmZ4fR0t1NwO8QWa6aINUp1Q6vlStegbDcBU9llsdp1XGEOly5NXH06f9wQbv7K5zBE2H+oFY2U5Iz6d2+ZOZ6DTb7IdkdGjyUZ1jS0ElSTQIiYWF0OcIpBYd6RidV2XfUyA7NceCJO+6I8DyMGZeNxORjgcRIy1XLH7YBFjOpLmw/gNITqBh95Hic3rdrEZeXrufX5zXx/xhg+rW8l2+NkULY7FvLYI0h4/7HWgBnbWrQ1YHZSnonYE6xexuVycGxeVmyp1BNnO5op9jpItThgiNDoCzJkoIfVC88gYJoI4XmUZrt6JfdqYJabJn+I+ImciDAw68i9C7ZY04C2m3JEyXJbZwW4HQZ3zp6QZB64HMKYobnkZhkM9KZHpqvTaXDsAG/4y9jGB32k2DZrGpMqH+qkolw+qW3m45rmmJ1bkONi8Wsfcf2MMYwdkptp2av2BKsvkKr6SvS8Lxg6fKtXMjXNOj2jrmyOjGgOWGfP92Vsb4BNxtCnzAARqQI+bqcTbRy8AAADjklEQVTJYCApNSbN6I99rFbVCzpq1KfE2hEiskFVJ/d2P9rD7mNqbDPAJmOwxWqTMfQ3sZb3dgc6gd3HFPQrm9Ums+lvI6tNBtMnxSoiF4jIVhH5SER+2k672SKiItLjM9vO9FFELhWRzSLygYg8kW59FJGRIvKaiLwjIpsipZ66D1XtUz+AA9gOHA+4gfeAcRbt8ggXhVsPTE63PhKu7fUOUBA5HpKGfSwHrok8Hgfs6s4+9cWRdQrwkaruUFU/8BRwsUW7W4E7gNae7FyEzvRxPvB7Va0FUNUDadhHBQZEHg8kXPGx2+iLYh0O7I47rqRN/VcROQ0YoarP92TH4uiwj8AYYIyIvCEi60WkwxWeLqYzfVwEzBWRSuCvwPXd2aG+KFarCJ6Yy0NEDOAe4IYe61Ey7fYxgpOwKTAduAJ4UETyu7lf8XSmj1cAD6tqMXAh8Fjk/9st9EWxVgIj4o6LSbw95QGnAGtEZBdQCjzXw5OsjvoYbfOsqgZUdSewlRQ1aruJzvTxamAlgKq+CWQRjhvoHnrSaO+hiYET2AGM5vDEYHw77dfQ8xOsDvsIXAA8Enk8mPAtuTDN+vgCcFXk8ecIi1m6q099bmRV1SBwHfA3wvsVrFTVD0Tk1yJyUe/2Lkwn+/g3oEZENgOvATepak2a9fEGYL6IvAc8SVi43bbKZK9g2WQMfW5ktem72GK1yRhssdpkDLZYbTIGW6w2GYMt1l4mEvV1d9zxjSKyKO64TES2RH7eiux2g4g4RKRCRM6Ma/uSiHyjR/+AHsQWa+/jA74uIkkrPyIyE1gAfFFVxwILgSdEZJiqhoBrgd+LiEtErgBUVZ/uyc73JLZYe58g4VC7H1k8dzPhxYBqAA1v0PwI8L3I8T+BdYQDSv47er6vYos1Pfg9MEdEBrY5Px6oaHNuQ+R8lJ8BPwSeUNWPuq+LvY8t1jRAw3vVPgp8vxPN22wEwJlAPeHgnD6NLdb04beEo5hy4s5tBkratJsUOY+I5BAOID8HKOr2tJJexhZrmqCqBwmH210dd/oO4HYRKQQQkYnAVcDiyPP/QTjAZAvhydY9IpIehVm7AbuKYHpxN+FIJwBU9TkRGQ6sExEFGoC5qrpPRMYBlwCnRtq+KyJ/Izwp+8+e73r3Y0dd2WQMthlgkzHYYrXJGGyx2mQMtlhtMgZbrDYZgy1Wm4zBFqtNxmCL1SZj+D8ypRLDKjoZCgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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NOUT2uO6mMycxY2IDn1/8IicdWc/yK0+gskKoLCAaq6kS6mqjfZZurqnK/73mUzYWQ3d3D2/t3N+ntT16dG1QHLMggSrIgL4zNOdPH5f+gVeua+LM7z3P3J++jKoSDodyShz2x53X6dkfH9jaQ4XYuT+eNyAbCgTOKWsivacBk5o7It7W2sGO9jgKvPz2rj4VQg9d9SleWHgay+ZN7/U6NzERfAC77z2xHjZua+PRxln02GOyXBFxdtd8/WlH0bo/xhbo030umzedb63a6HokbSL4gAU6yaSyfU+M7Xs6aWnvYmR1BRMaamjZ37co9/BDIrR39pBIKj1J5bG17zHvpIkI5NxjZndHNxMOjTAy6t4O7wEfUw6tQCez6nxUbYTrz5jEmJFR3muJcfRHatL7F4oIm7bvQVW59qFX0z/84rnTqaqwvrP75h9PRUjoSSrLfv8OK9c1kUgqH7Z1MKI6zMiDW6AtjVOEnvk4ey4+QNF3UQTGKVNV56NqI3z1s5NZ+PgbvVI/t/ziL6x/31q1+ukbT+HK5a/0CiaufehVVjbOoqUjq1WdO526YWHCIeFbqzZaxb8DIDuX+cCVM9hdG3VlqUC/EphAR1Dum388d110HGNGVHPSkfXAgTUorz9jUvrc6soQt5w7hRWNs1gybwbTxh9CU2uM7qT2jXwfepXLT5rI2zv3lqRuMnt+/KjRI1xbKtCv+PpSTCaVlvYuBO2TGF8814qYV65roqk1xhENNYyrizKqNsKeWIJbV23oIy4L55qKTCpHjR7hyl4zJtrui29bytQY8guLX6A1o8uFA93xglOOBKxApToc4tHGWfzw0ml9VvNd+PgbfP3vphAJh3IWX7i114zX5BVewLdOmalczCy2mDNjHE/feAoPfOkEolUVfPlvj+D2C47l3574C7vbu2jt6HZsmUQgCSyeO72X1GHx3OlE+rlUYFdX74R8V1fuLehSw4KgKRIHgm+770zlYk9SGVcX5aQj65l34kfTQUzqB964rY3fbtjJhu37WNE4yzEPGBIhHIKRwypZfuUJhASSCpVhYWR1ZfF2FVjaL9fCo0FTJA6EsqoZM867UERURGYW+96ZysVlv3+HxXOnc+1pH+MaO80DB4KGEz82Kh3MiMAdFx7bq2W648Jjue7h9Zz3oxeprBCilSEqQtbfyor+daO5lvZrzljHyGkLuqApEgdC2dWM9qZR1wMv9+f962uqWDLP6vZWrmuitkoQwbFr7u5J8sNLp3Hf/ONRhe8+uYlbzp3C8zfP5tbzj+G7T25i/fttNLXGmHPPGgCeWL+Nk29fzZx71vRr3tkELgPHzZaymA1DwdpK77tAZ3/ePBQSGmqquOXcKfxx4Wxi3VCRI2joSSrdPcq7u/bR2tHNknnTeWbDDhS4cvkr6fwlHHCg86eP6/W4WEzgMnDcdEonNePYzBNEZBowXlVXHcwHhEIhbl21gVhXki8/uI6Q0CdoWDx3Oo+tfY//29XO6VMO4+oH19HVo9xw5qScDiQipKZf++tQA1naz2DhplPmVTOKSAhrI/ubCr6RSKOIrBWRtc3NzenjqcUHOrqsoOfup7dwaE2YRxbM4tmbTuW++cfzq9e3cdbUw/jBM1tQu2JoW2uMi5auIRTq68Q/uWwGz27YjoikH/dn94hMWUVKfBbQ9ctdw81vqpCacThwDPCcvZPZR4AnROQ8Ve1VcZFLYptafODDvZ3pseX4uihzjh8PhAiJctbUw7jtVxtp3h8nZDtaW6w7PX789Q0npSNfEeHZDduZMbGBmqoQKxpnHdS888Eu7WewcK1KSETCWAsMnAFsw1I3Xqqqb+Y4/zngq9kOmY1TlVAqkX7X05u44qSJbPlwDzMmNvRJy0QrQ+zYG+c/n9qUHkc+f/NsDh9RHVT5gdcob5VQkWrGkpBqMReddwxzlrxEU2uMm86cxMMLZqFqKRp/vq6Jc449vJdDpsaLlZUVg762pCE3rvYxhTYMzTo+eyCfFQpJeswIcOfvtnDn77YA1jZxK9Y1cd60sTTb6Z2DGS8aBodADXxSCfXs2ZqOrh6WXT6Tw4ZHhnSdol/w7dy3E05LAS65bAafHD+SyWOGWwFIxsyJcUhvEqiWstBSgAZ/ECinhANLARr8S6C6b0Mw8J2aUUSagXfthw3ArjKa4xe88j3tUtWzC53kO6fMRETWqmrR5W5DFb99T6b7NngO45QGz+F3p1xabgN8gq++J1+PKQ3BxO8tpSGA+NYpixWlDSVEZLyIrBaRjSLypojcYB8/VESeFpEt9t+6ctuaD19237YobTNwFlYx8SvAJarq2m5mfsDebeMwVX3VFuStAz6PtcHBblX9jn0B16nqwjKamhe/tpTFitKGFKq6XVVfte/vw9oCZizWd3O/fdr9WI7qWfzqlAVFaUMdETkCmIYlXR6jqtvBclxgdPksK4xfnbKYLfaGLCJSCzwO/LOq7i23Pf3Fr05ZcIu9oYqIVGI55EOq+j/24R2p3d3svzvLZV8x+NUpC26xNxQRSxb6X8BGVf1exlNPAFfY968A/newbesPvoy+AUTkHOBuDojSbiuzSWVHRD4N/AH4M9YicgD/ijWuXAlMAN4D/l5Vd5fFyCLwrVMagotfu29DgDFOafAcxikNnsM4pcFzGKc0eA7jlCVGRPbbf4+wl8y+LuO5H4nIfPv+chHZKiKvi8hmEXlARMZmv0/G4/ki8iP7/mQReU5EXrMrgnxVxFsI45TushO4wU7wO3Gzqn4SmAysB1bnOTeTHwB3qepxqvoJ4IelMdcbGKd0l2bgGQ7MpjiiFncBH2KtEV+Iw7CmWlOv//NAjPQaxind5zvATXYNaCFeBY4u4ry7gGdF5DcicqOIHDIgCz2GcUqXUdWtwJ+AS4s4vdCiR2q/533AJ4CfAbOBNSISmLVqjFMODv8BLKTw9z0NqzAXIJY1vjyUjFUuVPUDVb1XVc8HElhLdQcC45SDgKq+BWwAznV6XiyuxxorPmkffh64zH4+CswBVtuPz7ZL1BCRjwD1WEt4BwLjlIPHbVh1n5ncISKvY+mNjgdOs+UdADcAXxSR14A1wM9U9ff2c58B/mK/9imsKP5D1/+DQcJUCRk8h2kpDZ7DOKXBcxinNHgO45QGz2Gc0uA5jFMaPIdxSoPnME5p8Bz/D9fyGpdOqd/sAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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kMootX1Hjswy3tsag0aGqkj0VtTG3Ti1BpxhJQogHhBBfCCE+F0K8KIRwCyH6CSHeD6ckrxNCxOfnHYFYhGRdswSCpxhDowt688xbe5gztoB1M4qZM7aAZ97aw4+K8qj3h8iK4Q/NSnXicijYFMGGWZexeGoRQ/MzjftbfaZfr1SyU5047NqSXO0NWBoy+g8pO9XJ4qlFEddY+15DqratiYQ/GCInzcXiqUWsm1GsEWXSXK0yaHQ0lcvVUnS4BhVC9AXuAwqklF4hxHrgZuBa4Akp5VohxCLgx2jpx3FDU056MGumTI+DihrzA66o8dO7h5t0l42GgBpDGyscPuEzLeOLphTRw2NHEYIxBbmmPKG8LA8pLptmpIWt8WXv7o+i6kX+kBRF0CvVaUSDGkeg4FSYtLEC8zhtlo76thhJ7WnFd5abyQ54hBB2IAU4BFwNbAifXwH8Wzxu3NitBJic9IBx3qZgaFhVSh6+ZiBzN5Vy05LtzN1UysPXDORYjY/PDp7EZrN27YRUGbWMz1pVwj8O1XDzku3cN/oCxhTkGp+JpLp5/SF+9+fdjC/Kp4fbzrLbLuWVu0aybkZx1HKpKIoxt4oYLqiT3kCUJR25jdHnN3vDToKtcKrrcEa45yLvf0ZY8VLKg0KIx9FSPrzAm0AJUC2lDIYvi0vacXNSPBqff+H24bx810iCQZUbGznUZ2/YyaM/+idSnDaW/32fJTs+FrFY31fOWlXC8mnD+fF3z6feH8IVEa922m1U1Pqi4uev3HU5iiKMLFHdEHlx+ggmLn2fQEg13GP6/+OJG4fQu4cryjCK3MZEzi/QBkf9GW3Fh8vdjAP6AdXAS2iVRRqj3dOOT+dWqvb6OXyigfk3DDFIE7c8/wGv3HV5zPBhutvB4ZMNLP7b19z23X5c0DuNoCqxKYKGQAhbDMZStTdgjFFZ6zOld+jzaZLIYpElunBKES/fdRlev8q/r/3ERAD57Z928cykoVFGSnv6LHWcbuvUEnSGFf89YL+UsgJACPEyMBLIFELYw1o0LmnHTe2NVFVyqFrLboy0fB9/Yzf+YAgR3i9Ou7wffXq4CUmpEZV7uNi6+yhrZxTTEFD5+tgpQvLiqUWcm5USJWTzbxjCo6/vAszCGjkfaPqLPnyyIYomp+cklVd5LTWvw4JN1J7aLhI6v6Gt6AwB/QYoFkKkoC3xo4GPgLeBCcBazCnJ7QbdKm6sLQRw+GQDTzaqvPHIxp2Gy0cgeej7A6ms9RvpFHlZHpZPu5RRF+aasit1wZ65soRX7xmJy66Yln4930dfen/7p12m+URqr1hfdKCJnKSnNu+JWuLnTRhMbUOQXqmy0d61/bRdPNAZe9D3hRAbgI+BILADTSO+BqwVQvw6fOx/2/veulXc2GI9cLye2Rt28tj4wVTU+I2CCZEun8MnGzhYdUrD6ufLjnujjul80JkrS/D6VUs/49oZxThsCnW+IBXh8jMt0V5N5STtKKs2mEspTptBTq6o9Vn6N9tL28UDneKol1L+F1qefCT2AcPjeV/dKm7MKv/pv14YJVgQdvk4bVR7/ahScm52CnPGFrBoy15DiDNTrJ3ouWFGUSy63eETDbgdNgbmprVKe+VasNYXTC5k6dZ9gCbAE5e+H/W5tvg3OwPdKpIUyyqONFh07aVrM18wxN4Kc3EFfQnfUVZNutthqcnS3Q7mTRgcMz+odw83vqDKSV+AnHR3i/8vjVnriiJYuW0/60vKycvyGD+Q9jR+OgPdKqtTVSX/OHTS5DSPFLa8LA8v3zmSQEglJLWam0dONnBPOL9cR16WhzljC5i7qZS1M0ZwoNIbFVY8p6eH43V+eqY6qfWFTEbIvAmDjSV34ZQiLmpDglrk/y2yAFiWx9Fu4cY4oVmT6FYCCnC8zsenZSfITHGQ4XHw6Ov/4M3So4bP0xdUTV/qyh8Pt0zhfWf2KPxBlTpfkAVbvopiMf3n2It5ZvMetu2r5NV7RtLgVwmokv0VdTy1eY+pMFhbEtSaQntXrWtnJNOOG0NVJRLJgNw0GoIqx+v8TP/n/vzs2gJSXNrS9+grn5n2qEdO+iyXyl2Ha5i7qZSFkwujGEmPjR/Mrzd9wa0j+7HnaC11PpWze7g5eMJrYh2BdZnG9kIiGz/NRbcRUL0Q2JGTDab95OIpRXgcCgKBqqpRLKBnJg1l4ZQiE41O3xbojKUNsy5j+bThVNdrnE59y1B6qIa54wYZ7PRYZWZaky/eXdBtlviKGh+fHzxhcglB4/1ksSk/SD+/+o4R7Dpcw4V90tl1uMZkxQO89eCVVNScigZF4q0Hr6RnqoM6Xwh/SEVKTNuKeRMGc0GfNLJTW24oneFILvGR8AdDpDhtTcbFK2v9luer6wPMXFnClodGGUVrdeRleVCEoN4fstSOHqeNQyd8pn3ts5MKuffqAXx7ooHf/Xk3z0waSoXqS9S9Yqei2wioVinEWoh0N9Phkw2W51OcNv54z+U4bNaOfkWBrFQHCycXcqzWb0SM8nt6sAkRFf+/e83Hhr9V95Vev+DdRLW2OxXdZvOTnerk3OyUKErcY+MHs2jLXgA2lpTx7KTCqPMPb9jJtyca+OUfvyAr1cHyacN568ErWT5tOH0y3DgUwes7v6XeHzJVKvYFVfxNsJnysrRKer9+rdQkwK0l93ZFdBsNqiiCc7JSSHPZWTujGFXV6nHO3fSF4QO9dWQ/Vm8/wJyxBVzUJx27TeEXf/icHWXVBmH5RH2QB18yM4iq6/3cNPxcU0izvEoreRir2G3fLI+RnRlJWNY/2zjik+Auo7ih22hQPU/mRwu38d3H3mbScxpv8hc/uJi3HrySZbddyqs7DrK+pJy5m0qx2xTcDoVpl/cztgH3jR7Agy99GsUgAlCEYP4NQ0wpHeVVXqNwbWMi871rdnDTku0cqfEZhGUdjSM+7Vmp40xDt9GgjbmgOWmuKJfTY+MHU+31c+vIftiEOXZ/doabNLc9arnOSXNhVxSm/O/7UW6oilof9X7VKPLVPyeVsuNeIz0YtGYMaxoVlm1MGGnPSh1nGrqNgDbmglqVUnxk406W3XYp897YxW+uH4xTwRS7X/Xj4VHL9X2jB0TVij9F01NY8s5ew5E//4Yhlo56myJiEkZUVeINBC33sWca8aM16DYC2pg5HiuVV2sBU4BEkuV2sHzapZQd95LitKEIYXpf7w9xXq8Uy3Hye3qY/dJOKmp9/PTaCw0BjEXgsNKE+tJ++IS1d+FMI360Bt1mD9o4xVh3OUUiL8vDgcp6Rj2+hR8t2MaXFbX4Aqcs86V/24s3oJos9Vi9jvaGmx0svWUYmR4nOekuzsrwNJnm3Bj60v7U5j1R+9j2YL2fCeiUSJIQIhN4DhiElnt0O7AbWAecB3wN3CilrGpqnNawmSrr/Hj9QRQBB6sbDKMnkmUUSeSYO26QsSwvnloU5agfU5BrWR3EbhNkpTjp08NtsrZbYo0frKrn8se0fkyRnUjysjycleE50634xGUzCSFWAH+TUj4XLtCQAvwMOB7RqjtLSvlIU+M0V0AbC4VNgU/LTvDiBwcMFlJuuoufrP/UFMIEeOWukRyt8RkVlr/3+60Mzc/k4WsGGrlJ6S47e47W4rApRrLdjrJq3n3kKlMzrJa6iipqfIYDX0dkUt0ZjsQUUCFED+BT4HwZcXMhxG5gVEQfzy1SyoFNjdUcAY2Vapzmshmpw+VVXpbddikvfnAgKimub6abiUvfN13zkzEX4A9KUxmcJ24cwksflTO6oDeZHgf1/hBD8jPoGc5xP13Kc0vm3kWiTAkroJeg5SCVAkPQcuLvBw5KKTMjrquSUmZZfD4y7bjowIEDTd7PSguNKcjlFz8cREjVmr8itP6StQ1aS5lI19OTN1/Crzf9gx1l1QzNz+SpiZcQCEnLPKPItjKNham12rALO+gTlixiBwqBe8MJdE8CP23uh1uadtzYvTQ0P5NbR/bjxsXvmfyWTptCrS9oYjvlpLk46Q0y74bB7K2oY9GWvYRUOF5nTSqJPN7YV6nXQGrcrOB0rqKuwOlsC2IKqBDiQinlrvBrl5TSF3GuWEoZzS1rHsqBcimlntG1AU1AY7XqbhMau5dmjepvWVhr5e3DTTWNhuZn8tD3B0alciiKZl1buX0ax88jfZXxqIHUHdCUm2lNxOv3Gp1b0NobSikPA2VCCH1/ORptuY/VqrtNaOxeilVRLiSlyfUUS5AVBBtLyqLcPoumFLGxxNysVWcqqaqMSw2k7oCmlngR47XV+5biXmB12ILfB0xD+7GsF0L8mHCr7jbeAzAXJlBVrZW1lfY7fKKBnqkOg04Xy5GvSskD3xvIE3/VQqDZqZqP8/29x7j7qgGmkOVj4wfz69dK+c31g40aSI0b18qkgDaJmEaSEOJjKWVh49dW7zsLLfGD6ikflbV+3A4lqhLIim37uffqAWSlOtB/f1bs+rnjBnFuzxQcdi3jM7Jsd1aKgwPHvaY9pu5uctptPLf1K64d3NdUBnzx1CIu6tOjqxg+LUGbjaQ8IcRT4YH01/rA7V55Lt6o9voNckhOmosnbryEPhlu1PAP9M5R/VGl5OYlmktpTEEui6cUWaYoV9T6TA58gNJDNayZPgJno/winVWvCJhUfB6TIxrX6pS8LuLXjAuaEtDZEa8bq6nWtxjuJHj9IWMPmJPmwh9SjT6Y+h7yj5+Um6zsnmkOVv14BEdONlDtDRjJcKBVFIlETpqLmoagqfiYTo4+ctLH4RMNpFuwoboL6aO1iCmgUsoVHTmReCOyKdeDYy6IMoBmrSqJ8mMunlKEx2kzcUDhVOWQSNw3eoDREkYfc/aGnayfeRnTX3ifpycONXobdUfSR2vRlJvpu2jRnhfC7zcAPcOnfy2lfKsD5tducDs0d1NOmouzMj2WmqymIWhefleVsG5mMc9MGkpVXcBgMGWlOvA4zC1d+vVKtRxTL2Cb5rKzcMtXUaW8F08p6hakj9aiqSX+l2jWto6BwG1AKlrc/IwS0F6pLpbeMowT3gDfVNZbarIebjtD8zNN1e2QWhXiyKX7iRuH4HYqJg6nxNo7oLcvbAiEuHVkP4O8nJ3qpGeqkx5ue3c0kJqNpvygPaSUpRHv90gpS6SUW4H0OM+r3aH37undw8Xrnx1i4eTCKD/m2g8O8OCYC4zP6Of1OpugCe0D6z8lpJpr2+s/gMaUuNw07fixWj8rtu03yCmVdX4eff0fyGZ67Jpq2diV0ZQGzYx8I6X8UcTb3vGZTvshMoYthMAmICTh62P13DAsH1VKU1HZkKoy6sLe5IYrzekCFqv0d4M/REWNz4iNN1UIdmDvdHr3cJGbbqblNZfT2cVJI02iKQHdJYS4Tkr5WuRBIcRYNO5mwsLqC31s/GB6pTl5avMenpo41LDgdeiFwuyKwjuzR+Fx2uiV6rIMa44pyMUXVDlaU4fXH+TsDA92uxIzbq4ogp6pLjI9zlbVAu3OOUlNLfEPAL8XQiwTQtwb/lsO/D58LmFh9YU+snEnqS47FbU+/DE6WyhCcKy2wWhPoygiKlQ6piCXh74/UAuPqpK9FXV8fbyuWUturL70p0N79h0609CUm+krIcRgYDJwMRrz/R00Jvz9wN0dMsNWIPYXqvLcrUUIARtmXUZlnd+I9uRleRBCSx9uCIWo94VQw/Xc9aXb6w8igW+rvVH+zp6pToP72d6IRyeOMwVN5iRJKX1SyueBVYCKVrZ7LvCPDphbqxGrkVRlrR9/UONyTlj0HnM3lfLQ9wcypiCXBZMLeWbzV9y9Zgceh439x+qiq3uEBdiK9OH1x0+bna5lY1dGU37QC9BaFE4EKtHyhYSU8qoOmlurkZ3qtAxT+oIhHlj/SdTS/+L0Ysqr6tlztJbyKi8ZKQ7WvP8NF/ROi9rP/vUnV8ZgQzVvbq0hICd6J454okkjCfgb8AMp5VegNYHtkFm1EYoiOCvTbepy8fgbu/n5dRdZCtexWh+zN+xk/g1DUIQgpMKMK/vjcdo4Vucz7WcPn/BaLrd6a5mmEAyq7D5aY0ScWmKNd1ficlNPdTxwGHhbCLFUCDGattPsOgyZHid9Mtw8+NKnzFxZQkWtj5x4khXzAAAQv0lEQVRwY4FI5GV5yPA4yElz8eBLnwKwt6KW6no/tQ1BvH7zfnb+m18y/4YhUcttr9PsP1VV8u0Jb1Q4NFkorGk0ZSS9ArwihEhFa+z6ANBbCLEQeEVK+WZbbiyEsKGRTg5KKccKIfqhNfHqidZDaaqUstXfnL4svnzXSBoCKjYBL2zbz7OTCk10t2cnFbLugwPMGtWfRVv24nYoRmqxXrw2UmPuKKvmf/++j7UzihFgNCw43bJdWefnaI2v21rjrcVp1yUpZZ2UcrWUcixai8JPaEEOURO4H7Ox9RhaO+4BQBVaO+42o7LWz6Swz3Px374mxanwwu3D2TDrMuaMLeDZt/dwxcDenJ3htixjs2b71yycXGTSmPeOvoCV2/bjsCvYFJpV2MsfDBk+1Uh0F2u8tWhR0pyU8jiwOPzXaggh8oDrgN8APxFCCLR23JPCl6wAfkEb+8XrzWEXTi4kI8UZFg4RlZFZeqiG5dOGc052NB2u8Lxsnn7rSxMNb9Mn5UwYdg5ef4hAKLrdtpUT3Wm3GakiJrLI1CRZpCl0Vm2m/wEe5lRMP5tmtuNubrdjvTnsix8c4NaR/Xj6La18TL3f2kfqtAlUSZQBlJ3q5M3So0YNz6H5mfxq3MWUV2n1mbLTXJbjeQNag1p9qc9OdfLAvwzkib+cShXJTXdx9plfISSu6PDaTOFQ6VEpZUnkYYtLLR03UsolUsphUsphOTk5Me9TWedn5qoSxhfl88jGnbxZepTH39hNitPaR6oogg/2HWNBIxJJbiPD6v/94CIjPfmmJdspO15vXZvpaK1pqdf3xL+5fjCDzu7Budmp5GWltLmBV1dHZ2jQy4EfCiGuBdxADzSN2qx23M2FHk06v1cKy267FJsiCKmSP392KGqZfWz8YH71xy+45+oB5KQ7efmukQSCqmEARbar7pXmNsXxn9q8J6pufWRqSORS311dRW1Bp7ahEUKMAh4KW/EvARullGuFEIuAnVLKJtObm0qa+7bay4p39zF2SB53ro4o2T25EI/Thtth4/CJhqhwp1XXt0jnelCVXDlvi+n80PxMnp40lINVXlOyHBBVnykJA83a1yTS+vIImsH0FdqetNXtuFVVgpRMHdnPEE4Il+xe/TEuuw1/UDUJp37equtbJMlDbw4bCb2dtu5zjayOl7TQ24ZOFVAp5Zaw+wop5T4p5XAp5XeklDdEVjJpCfTQ5I1LtsdkLQVCKlfPf8eIxes15fW9aFPMpOwUBwunmN1OC6cUseNAZVQxh6SF3nZ0uQrLkVS7UIwiDaGwAOqx+DljC9hYUsbPrysgGFI5crKB3uG6npHLu8Ou4AuoPL3Z7HZ6evOX/Od1Bfz6tdKkhd7O6FKtEFVVcviEl/pACJsQICS1PtXUZ3PB5EJWvXeA9SXlxufefuhKahqCpnKKS28ZxoCctKiW1ituH87o+dHdj/XiDN2NzNEGJGx1u7hAVSW7D9cwfeVHRuGFe64ewGufHjSseKddYeW2/SbhzMvyoEoM4YRTznYtZdhMfI6VcBerznwSbUOXEdDKOr8hnADji/INoVv8t68BjQ1/79UDeO3zIyaNmuJUmkwZjsRTm/ewcHKhqXROcq8ZP3QZAW3Morcq/vVm6VF+Ne5iXrh9OMfrtNbZz7y1h3uuHsCYglxTx7fIlOGcNJdR8KveH0IRImqvCVqx3NMt8V24IG1c0GUEtHFaRLU3YClcgRCWsfg1083NtOZNGIwQkhenF+MPqXxTWc+jr++iotZnRJv0JglAs7Iuu3N2ZmvRZYwkqz3oQ98fiNcf4nhEVZDzc1KjHO0Abz80CoHkyEkf1d4Am0uPcH1h35gRojljCxh0dg/6ZqU0u7x3F2+K0FJ0LyNJUQQD+6Tz8p0j8Qa0ZdhpE1TW+o0EtzEFufz8ugJLI+frY3Wcm53Co6/vYkdZNYunFll2otPbaGenOg0nfHOzLrtzdmZrkUiRpDZDUQS5PdzkZ6XgdtgINKpqPL4on9+8VhrlUH92UiFPbd6DlDDvhsEsnlpEbro1S0nvU5Sb7jIMo1hJeo2jSM29LolT6FICqkPPZw+pMspw0llNc8YWsG5GMXPGFqAILVz5zfF6vvf7rczdVEpGWBAjkZflod4fYvHUIpMTvrlZl905O7O16DJ70EjoxsgJb4CHIkonWnWK06smux2KqcvcmIJc7v/eBaYEt8VTijgr002mJ9rybq51nrTiDSRmn6T2RCwB1Y2Rkednc8cV/ThY1WA0g/U4bcyKiCwtmlJEdpqTJ9780uTAB3j/P65GUZSkMMUH3ctIioTek2hS8TkEgqfYSbW+IH0yXKydUYw/qHKgsp45//c5FbU+5k0YzJ6jtSYmkqIoZKc6DY1XWedPCmkHo0sKqMOucN/oAQSCEq8aiipTk9/TE+ULnb1hp1F3Xt8bZnkcJr/lmIJc/vO6gnDYNKlROwIdLqBCiHzgBaAPWjmdJVLKJ4UQPWlht+NYsCuCAb1TkVKY2O96mZq1M4otLfT+uakG6UPXnLpw6h3qJoWbICSd7B2DzrDig8CDUsqLgGLgbiFEAVoq8+Zw2vFmWpnarIYbZ1XXBzlysoGcNBeLpxaxbkYxi6cWkZPmMnolRSIvy4NNCFPluUi/pVVjr2TRhfijwwVUSnlISvlx+HUNWm58X2AcWrox4X//raVj69Z7tTfIrFUlBEIqD18zkLmbSrlpyXbmbirl4WsG4rErLGpMOp5cSGNFGOm3jNXYK+lkjy861Q8qhDgPGAq8D/SWUh4CTYiB3BifmSGE+EgI8VFFRYXpnL4kK0ITHodNidl+0OsPsfL24Wz+yZWsmT4Cj9MWVY470m+px/YjkXSyxx+dJqBCiDRgI/DvUsqTzf1cU2nH+pKsM+kzU6y1XlCVPLD+E66a/w63LvuAg1VeMjwO7Iow1YCPrCp3SV4Gi6cWJZ3sHYxOseKFEA404VwtpXw5fLjN3Y71JXnp1n0smFyITRGWcffIrsblVV6Wvbuf+0eb68cvnlrEwNx07HaFnHQXqiqp84dMde1dyZz2uKMzCjcItIzNf0gpfx9xqs3djvW6oNv2VbLqvQO4HTaj2xtguJkOn2gwfW58UX5U+ZqZK0v49oTXSKCrrPNzy/MfMG35h9y0ZDvTln/ILc9/kDSS4ozOKtwwFfhMCPFJ+NjPgEdpY7djvS7oMxOHkpniJBBSyUl3mbRerzQn894w94CI1aL7aI0Pj9NOdqoTfzDE/BuGmPLek0ZS/NHhAiql/Duxw1yj2zp+pseJr0eIryvrmb1hJwsnF+IPqaRgI91tx25TmHllfxM5WS9v03grUFnnJz/LY9kxROeFJo2k+KLLRZIURSsCplvv355oMBFEbizK457R32Ht9GKCUuKyK+Skar7SSGKI3qL7n/pmWHYMmTtuEH0y3EkjKc7ocgIK5saxi7bsNWox5aS5uL6wL5OWmqNBvdPdDMxNZ80dIzha46OyTusK98C/DERKabn8989NIy8zmfceb3RJAdUbx5ZXedlRVs3jb+xm7rhBDOidxs1LtkdFg/SUi7ysFDxOO2dluCk8Z7AR7rRa/j0OW1I4OwBdUkB7pbp4YdpwDhyvN4yjc3umILBua6gbOlbV57I8jqjlP+n/7Dh0SQFVVUl9wMxiWjSliIxUO2MKco2GrtXeABtLymIaOqoq2VNRy5N//TJZ0qaT0CUJy99We7lx8XtRy/JLsy6jzhek7LjX0Kz5PT2c1zPVspBsMgszrui+hOWARUWQ8iovgaBKRY3Puo2hPVrgklmYnY8uGatzWNTw1EsrWpFH6v0hDlTW8W21l2AEAz+Zhdn56JICmpvmiqLTLZpSFNNlFAipXDlvCzcufo9dR2oMIU1mYXY+uuQSb7crXNg7nXUzivEFVUKqJKSq+EPW9UIdisLQ/Ex2lFUza1WJUQa8O/fITBR0SQ0KmpAGVcnV89/hX57YyoHjXhoCoaiiDY+NH8yJhgCzRvUHosuAt7bHexLtgy6pQXXo9eTLq7ws2rKX+TcO4clt5urIK7btN9xOcKqqXRKJgS79TeRE7EV3lFWz7oMD3D/6AlMKyK0j+7GxpMxgzC+cUkROco+ZMOiSftBIBIMqR2t9BEMqdptCrxQHh2t8Rsx9Y0kZ942+gAyPnYaAyoaPvuGOK76T9HPGH2eeH1QIcQ3wJGADnpNSPtrWMe12JarvUV6WDY/TTm66i/FF+cz5v8+Ngg0At4zs19bbJtFOSJglPtye+1ngX4ECYGI4HbndoRs+HqeduZtKTcKZ9HMmFhJGQIHhwFfhfkl+tN7x4+J5w6SfM/GRSEt8X6As4n05MCKeN0z6ORMfiSSgzep43Nx23M1FssFrYiORlvhyID/ivWXH4+a2406iayBh3ExCCDvwJVri3EHgQ2CSlPKLJj5TARw4zdC9gGPtNc84IdHnGI/5HZNSXnO6ixJmiZdSBoUQ9wBvoLmZnm9KOMOfOa0KFUJ8JKUc1k7TjAsSfY6dOb+EEVAAKeWfgD919jySSBwk0h40iSSi0B0EdElnT6AZSPQ5dtr8EsZISiIJK3QHDZrEGYwuI6BCiGuEELuFEF8JIWKWDxdCTBBCSCFEh1qlzZmfEOJGIUSpEOILIcSajpxfc+YohDhHCPG2EGKHEGKnEOLauE9KSnnG/6G5pfYC5wNO4FOgwOK6dGArsB0YlkjzAwYAO4Cs8PvcRHuGaHvRO8OvC4Cv4z2vrqJBm0s0mQv8DmiwOBdPNGd+04FnZbiziZSyxQV8O2COEugRfp2BRaSvvdFVBNSKaNI38gIhxFAgX0q5qSMnFsZp5wdcAFwghHhXCLE9zI3tSDRnjr8ApgghytH81ffGe1JdRUCbJJoIIRTgCeDBDpuRGc0hwtjRlvlRwETgOSFEZpznFYnmzHEisFxKmQdcC6wMP9u4oasI6OmIJunAIGCLEOJrtP5Mf+hAQ6k5RJhy4FUpZUBKuR/YjSawHYXmzPHHwHoAKeV7gBstTh8/dORGPI4bfDuwD+jHqQ3+xU1cv4WONZJOOz/gGmBF+HUvtOU2O8Hm+DpwW/j1RWgCLOI5ry6hQaWUQUAnmvwDWC+l/EII8SshxA87d3bNnt8bQKUQohR4G5gtpaxMsDk+CEwXQnwKvIgmrHGN9CQjSUkkNLqEBk2i6yIpoEkkNJICmkRCIymgSSQ0kgKaREIjKaAdjDCTan7E+4eEEL+IeD9DCLEr/PeBEOK74eM2IUSJEOKKiGvfFEK0uGXkmYSkgHY8fMCPhBBRERghxFhgJvBdKeWFwCxgjRCij5QyBNwFPCuEcAghJgJSSvlSR06+o5EU0I5HEI229oDFuUfQHPTHAKSUHwMrgLvD798HtqGRNn6rH+/KSApo5+BZYLIQIqPR8YuBkkbHPgof1/EfwL8Da6SUX8VviomBpIB2AqSUJ4EXgPuacbnAzCq6AjiBRn7p8kgKaOfhf9DYQakRx0qBokbXFYaPI4RIRSNcXw3kdEjKRScjKaCdBCnlcTTq2o8jDv8OeEwIkQ0ghLgEuA1YED7//9BIHLvQDKYnhBDuDpt0JyChKot0Q8xHYxABIKX8gxCiL7BNCCGBGmCKlPJQuJjv9cCQ8LWfCCHeQDOsftnxU+8YJNlMSSQ0kkt8EgmNpIAmkdBICmgSCY2kgCaR0EgKaBIJjaSAJpHQSApoEgmNpIAmkdD4/wXan69mTresAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ncutxITaeTwK7ZosgqZPS7ha1TmU14N+B36Y0FSz2w5hz4UJsLusl7QGGgANm9vwscR+g1CRfAdzfDONaiQux8ewFzqnxWbmP+AngPEkX18rEzJ6hVLuuMrNfNd7MaOFCbDw/A5ZIur4cIOnTwInl+2CS683ALXPkdQslR6ftcSE2GCvNIrkMuDD4+WYv8E1mzpv8IbBU0m/OktePzeznoRkbIXz2jRMJvEZ0IoEL0YkELkQnErgQnUjgQnQigQvRiQQuRCcSuBCdSPD/Axy+tkevIO8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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z7h9TzoxntgbPT+yL65nniHLB6CmfA8sKmHXRt9h1uNGIjJxalENBji2qouuj/9hpSL06I+LNhP1jPSGldMd6Tkdw5lwHPCelfCl4+LAQ4qSQ5bgqxvXbVRoulHiRlQuSmRmOeXw0evwsnzoYu1XhiRsGGhlmZsnerWXIjS4v4b7LziEgJV/Vu7EIUBQl5o8i1Mhwe/3sqW4yJP3PT7tQE8qGaA0fHT+APLvFtKKrqnbemEk8EuYIIQYSY22XUn4Y64XBveSfgU+llL8PeeqvaCXhHiJNpeFiJY1XN3jZdrA+4RRIVZV8Xd/C3S9+HOYXfHHmUPwBzYK1WgT59uMfo8tu4cUZw+iZZycgJYeOtrBy8376FDiZfXG/MP+gLmz96ffOivmj0Je7mgapObGDW4OTC1xM/NO/wlw9P13zMaunDzWt6JquiEkqEI+EfYAFxBYwXNzKa0cANwL/DpYMBvg5GvnWCCFuBr4Ark1qxAkgVtK4viSauUTMluzaJi8zInx+C9fvYvbF/Zj1XHgUQydRfZMPv6pyYwjZlgTrCOYFJM/efCEWRXCkycMTb3/O2Ioypq3cEld0KhH87aNKQ8wgME8nDaiS4jxHVCpBVxYwfC6lbI1oMSGl/CexraNL2nLNRNHakgjRLpFY4aceJoaIXi0/lJgznt3KqlsuxGmzcOBIM8+/fyCMBFv21VDRtye3RkRR7hx9Jj6/TEh0WpRr54eDypi6/AMq69z8c85F5vtTRXDvpWeFpRfMH9cfp13pFF0IzHBCChhixXjr3T5TX5ZZe4ZH/7GTB648L+o6ZsqVyjo3VQ0eSvId9MyzR+3JlkyqYOH6XVFRlOVTh2CxyTDjJpQoNquCVRG4vRpp+hXn8dKs4TR7AigC5o3tH7X3UwRRVR/uWbudF2cMY+exzpl7Es9ZPSf0gRDCJoQY2BndKqEwret3YwXnl3Y3jSDo7RlCndA/Gt4XiyDqOj1y7abO6NomL4oicNmtUXuymc9uZWxFWdhrKuvcKAKj8HmOQ4mS91+zaBM7DzUwe9U2rl60kS/qtECV1SIQCN7deZhlUwbz1l3/zbIpg3l352HAXMDgDaidtqlQvJnwGiHEl1LKT4QQ3YHNQADoIYS4W0r5fPqHmDySzYeN1Z5hzYxh9CvOY9UtF1LV4KFHrh1fIMCiiYPC9oS6gTGg9DysMVQskVGE0kIXqoRchxVVqqiq+V72nrXaXnbJhj0cPtbC5Ke1cb7/i0sYM6CPsTzrTnGrxdyNFGtc7S0P0hFSrv+SUs4M/j8V2CWl/KEQojfwd6BTkhDCnajxPigZo6aKlJJjHh97qpvIsVtQhODP/7efO77Xj5U3DeFIk5faJi8rNu1j6oi+KEJgj0GC4hDtn74n9KsBfrbuP1Q3eowE+Vh72ZmjzghbZn1+lVc+/tIwVAKqZO2WL5g8vC/Lpg6m8ojb8B+W9nCR52x/F4JIpErKFY+EoXP194AXAaSUhxJ1OmcaiXxQdquF0eUljK0oM/aEetPCr+tbovJ+m7wBDh9toXd3J0W5dqaO6MvDr+/kqckVNPsCzB/XP8wwWDxxEIW5VtbMGIYvoKIIzTr+2bpPDKm+X5Xk2K0x97Il+Y6w4zaL4AcRM+GiiYOwWQT19d4o/2GP3GjtYXvVNbH20sk6xluNHQsh3kZz0XyJ1vrh7CABrcB/pJRnt/kdJIG2xo5VVXLoWAtf1bupbfIaVQ8i9XVm8d4lkyooLXRy79rtYeT8cH8tV55farhuSgtdPHHDIF7b/iWTh/fluiffi6rAcM5J+ZTkazL+r+rdjF+62VT53LubM+oHM39cfx5+fSfzrx3AlGXHtYUb51wUVlZEv87q6UNjHj+puyul1vHho2721zZzV4gfdcG1AzitKIde3V2QotjxDGAh0Bst7HYoePwS4NW2Dr4jEK/KaeheqM7ti9IAznx2K2umD42ydFfeNCRMaFpZ5+a2VR+yatqFRqm0yjp3WLx3w92jjP9L8hxGGDCU8CV5jqi9rG4dP37DQBQl3Br2q+ZbiFjHAzI1cd6wz1hiEFC/z10vfsyLSTrGWyWhlHIXJrnHUso3hBBmLcI6DVpzWM99ZUfYXiiWX9GvyiiDJZbQ1B+QRqm04acXMW3k6VgUgSq16qW1TV5DVlWUZ+P5aUNRpUQRAquFKHl/GHI1IcWKTfuMpc+qxDZAzI4nW64tEfhUc+2kL8kQYXv8hHcCf2jH61OKSOMjFrFC83x1xPIrWhTBgmsHhBUwqm3ymp57oLaZ8pPyWTXtQuqbfVFWqwjKMOvdXqqOeTjS5DMMhx65Nlw2C74AMZfKQpeN2y8505hB/3h9f5ZPHczBEAOkrIeLHV8dZemNFUZkSN/79cx1pNxZbVXMi3haleQI3+ZaNEKIg1LKsvhnth/x9oRmS++qWy40kpV06Fo+u1WhZ+5xsaepBnBSBa98VMnS/9sftpQX59vDyBD63NLJFfj8Kr/52ydRRs6vrzgX0DZJ1Y2eMBHEEzcMxGpRoohzVq98QJvV3T4/X9W3IIOzZ1kPF7VNvrAozOJJFShAcb4DIUQY2SD1Eq/DR93srWmKis6c3jM3qT1he0j4hZSyfRqrBBGPhGYJN6PLS/jJd88M+2L1TX5kK66qhhZ++Zd/RxFnbEWZsbcrLdQ6KeU5LOQ4rFQd8xiJ7Es27KG60cO6mcPwS8n+muaoSMapRS5+vOojbr+kH6cU5fB1vZsFb+5i28H6sIJJA8sKmDnqDIpy7fQpcOH2BaJED4+8sZOFEwYy95Vosv/qinOxKUInQaufUXsToA7UNnHHCx9FiW4fu/58TinKhVQYJkKIBszl/AJISE/YETBbet/cUcXcq87jpVnDcXsD7K1u4uHXNaNkYFkBh462kOuw4LRptQPf3FHFmzvCVWU3f+d4gYnKOjen9MihweNjxcb93DjsVGoavRS4bNx+ST9OLcrBp0pkDMf3C9OGcvf3z4oi5yNv7DQKJg0sK4g6Z/64/hTnOQyDR9/XKgJTyZYiQJjMbOmoZW2zKKaiW2uSJUdaPVtKmS+l7Gbyly+l7DRx51gJN0IR+AOSgCqZuvwDg4B3f/942d5rFm2itsnL6PKSqNfXh2TRlRa6+Ly6UQuhDTLvEx5QJf4Ym3VVSrx+lQXXDjASnuas287D4/pTlOdg2ZTB3DX6zCgC37P2eMsI/ViBy4Yag+xSYlpDR8QolNQef2+OXWHxxEFhYc3FEweRY0+OhJ2GSO1BoctmhNZqm7ys23qQn37vLBpb/Ex++n3uH1NubKBnjjojzMqsd/t4/K3d/PzycnZ83RAlOoDjH26jx09xnoPTeuayv6Ypyol9WlEuflWabtYVRYSd/8QNg3juvQMcdfsYt2QzpYUuVtw0JGbEJPRaWsjP3BVzrCXYVySihYMlhuChPdW6PD4Vm1VEpTJ4kixD1+VIGGnhFbps7K5uDNtwL72xgpO6Oxjzx40U5zkoyrXz7M0X4lcluQ6FPEf0Mubxa5GO3t2dCCFwWBX+54ff5r7L/ByobeaZzQe47Nsn8cj4AUgJfYI+w4Aqeerdvdyzdjsv3TocIeDR8QP46ZrjDtxHxw8AZNisdduqD42qrvqx6gaPKYFlyP/ae3PFtNIPHW2hZ173qM8tIIn68a3YtI8Hrjyvzd9FQMItK7ZGjSFZAW2XIqGZFbz0xgoe+99wmdRj/7uLuVedx7qZw6hp9IZFN5ZMqmDFpn1Ry9hzt1yIKuHGPx83ApZOquCx9buobvCa7tV0I2fRxEEAtPhVcmwK3XNsYVWxuufYqG0MV6voPsdASPEiKWVUyG/+uP6c1N3J6ulDqXf76Bl0q5gVT5o/rj+9ujlNQ3F2i4gS4y6aOAh7O6bC1mLuyaBLkdDMAT3jma3cP6bcMCr0BKBDx1rId9qilNEznw0/Xz9uZlDMCJ4L0c/p6pYZz2w1tIFOm4IvILlp+Zao2eGRaweEvRdd/hW61NosCg+++mlUibr7Ljub6558z7Bm4bhS6KVZw2nxqViEllpQ4DL3/XkDksff2h21DWnPTBgr5p6sKKJLkbA1B7SOmaPOoK5JMyh8AfNfqpmsKpZB8a3iPI61+Frdq1XWubFZBD1cdg41tJie27u7M0xFo8u/Jgw51RhDr25OU2vTF1BNBQeKIhKuQy2lNPUA/PqKtsv+Ix3o+kqTbCeBzlu+0wSxrGC9RBpogtYcu4Ucu8XYN0WeXxQiTNU/uMYWv+m51Y0eugd7yUU+p1vP+nN1bh8i5HHouVZF8NwtF7J25jCjJdiPL+5Hj1wba2cOY/X0oeQ4FNOKC/1K8tpdziMdnZ5ixdxDa/Mkgi5FwlhlJ07u7jJqr/Qp0Dbyzd4A67YeZN7Y8C910cRBeAMBnp821KjVcnavfE4ucJkSQErJQ3//NKiqCX9uyYY9xjXdXj9e/3HZfei5uv/uwVd3GEvw2Ioy/vjWbnLsVh589VMURdDkMe/g5Fdlu8t56PnTkT++9vQ/SZXvsUstx60ppnWvf32zhx65Ntw2hakj+rJso2YRFuXaKcq1s3jDHjbtrY3KbvMGVNOSwfOv1VJFHVatCJHdqhBQJQ0tPu677Gxjb/Wzy88xYtZmVuivrjjXdDmcPvIMHriynCNNWkw5kYqxbUFdsN9JrP4nbUGi9RrjoUuREOLLkZo8AW5avoXiPAcPXFnOb646j4CqOayrGzzsDlbXavGpRiPsAqdVez6CAJoDW7Bwwvl4/GqYWODkAieKENS7fVQ3eFGEZrFWN7SYRjKkNPcf1jZ5sVsUnn//AFNH9GXxxEHcGmLBpqqsm9cfiLEnbHvExMxCb8t400ZCIcTTwBigSkp5XvBYD2A1cBpavcPxUsq6tt7DTBWia/qGn16E02Zhf0SAfcG1A/jzP/eyp6qRqcs/MEQND766I8yZO7q8hNkX92PKsve1SlgQ5ZwGmPvKDuaP64/dqiUqCUWYzoS/vuLcKB2hHrb77VXn8qPhfbln7XaK87RO6qcU5eCyKvTu7oq5DCejikmVJRuKVPW2S1tHJyHESKARWBlCwoeBI1LKh4QQ9wGFUso5rV0HzAUMkT5Dvc60VRE88LdPuO+yczhQ22zaSen5aUOpafRQ1eBhyYY9LBg/gIsXvMPAsgJ+P36AkdQ0/43PGFtRRvlJ3ZjwVOzOSroL5tQeOThsCjsPNUT5+gCWbdzHfZedQ0OLnx65dm5/Xqv29b93/neYalq//poZwzi5wDxEn2x+Ryz1eGiV2TQgNZVa2wop5bvAkYjDVwErgv+vAH7Y1uuH+gzHV5Ry32XnUNXgYW9NE7+6ohxfQKWsh8t043z4WAtXL9pkNKSxWQSjy0uYOeoMLBbBn/+5F6dNMdJAPTE24IHgD7iyzo3DqiCRuL0BnDYLy6YM5m+zRxjGhSIEb+6oYvLT71OQY2P9jq8BreWYzSK4f0y50aFJv2ZrE0SsTgKxUjhTZcmmAx29J0xZWThV1bpmnhwMs4XKnZZPHYwvIPmqvsV0H9bdZTMiENrSea7h71ozYyizL+4HHF9W9cKXZiEy/f+iPDvN3oCxb6xsdlOYazNkXro7p7LOTZPHz+X9+zC4b8+waE5o+kFpYesdpZK1TDuyI3yy6LQuGiHEdCHEFiHElurq6rDnVFVS0+Rl7is7+OpoS9Qv/OAR7Ve+cP1uUxfN/Dc+C09yVzAqJARUmPXchwghjZnwjhc+4tHx4Z2VHh2vdVbSr+mwKEZHzuuefI/7X/4Pbm+An19+DvPGau4c/bUH69z4AmpUNGfOuu1Gm7EnbhhIICBjdo5K1u/XkR3hk0VHk/BwsBwcrZWFA600nJTyAinlBcXFxWHP1TZ5DbFqgSu6XkyO3WJkvHVzWlk2ZTB/mTWc1dOH8vhbuw0LUf/im71aBYaBZQUEgolCqhTMWbfduI7TZmH51CG8e88oHrl2AH5Vct9lZ3P/mHIef2s3PlWalt84qcDJik37jNlt3tj+rNt60DCgQlFZ56ZfSR7zx/Wnxady7dLNjJj3tmmX+GRL9XZkR/hk0dHLcUrKwulLcYHLZpTlCP1CFWFeFCigyigXRWWdm4YWnyEWrWnUlCxNLZpsK1K4sGTBT3n2AAANm0lEQVRSBfNCWnvp+MUPymPqCH/5g3KmjzzDSJT/6ffOMpKiIpd4gVYcU89R0a8TWc4uWcu0IzvCJ4t0umieB0YBPYNdAH5NCsrChS7FulW8eGIFr3xcybgLTsGiaDKslZv2hZVIa/YGEALTL76qwWPElB989VP+OGEgNqvC7Zf0M60rM/eq85i6/IOwa1gVYeoCcdos9Mx14LJbOam7k0Gn9DdmHzMVzJ1rPuYXPzgnof1bqlM4M4W0kVBKOSHGU+0qCxe6FIMm47+if2/GnF8aleF2dUWpoXcrLdQSgZZPHcyUZeHnNXr8jC4voaSbgz9cfz5Sgt0qOKUox7iPnvtR4LJxcoGL0eUlRuXXxZMq6JkTnQC1ZFIFPVz2mGQxqrD6/OypOp5+EEsr2BlKdqQDXa7z+5d1zYyY97bx3MCyAhZOGGjqx1s+dQjf/f07YcfWzBiGKrUIii8gefKdPdS7vfxyTDkBVUtSWrh+N/OvHUBNo4e7X/zYdFl+4oZBKAK+OtrCuq0HeeDK80wrKySSSPTFkSZGPrwh7D1F3q+9hElHohN0UPX+zobIeOVdo8+M2cAm8vvSwnXh2WuP3zAQj0/lhqeO97LTwmwqTptiGAmRUZAn3t4dlo33ix+YjyERF4g1oiD7toP1rNi0zyiS1Nr+LdGoSTpcNKmaXTutiyYWIq283t1dBIJ5HaEoLdRKr0Uei2zpVdfkiyplMWfddkCw6O3PATird55p/cKTuzuN6+qVDyLvl0gikdUSLeGaOqIvNovSakOcyHqGZla0jnS4aJJ1mMdClyOhogijZuDLt43AaVNYu+ULFkVmfU2qINehsGzKYAaWFRj7v4Xrd4ddT0+3DEVlndabZPbF/bhn7XaaPAHTzDbdwn1q8gW47ErUGHT5fLxu8S1+cwlXS5xZKhkSpMNF842Ucumoc/uM6gqv/+Q7XDfkVFQpWTVtKKoqsVkEigItXpVvleSxeNJAmr0qbm/AqH6vo9kbMDUCCnNs/PZvn3D/mHKsFvMCk3arwvKpQ+iZZ6PZq8aUz8dbsrS+JuFkKM63Y4kziyZDgnS4aFIl5epyMyEc//AHlhVw1K2ldd7z4nb2VDWiCK3W369f/oSLFrzDhKfeo6rBy+r3D6BKybIp4bNBaaEzagabN7Y/R90+3txRxYxntrLrcKPpUvbZoQamLHufL+taUIPy+RnPbOW6J99jxjNbeXNHFQFVxp2tch0WZl/cL2y5n31xP3IdrX+ZyS6xqe55l6rZtUvOhPqHP3PUGdwVtF71fm+hki29b8ms5z5k2ZTBTF3+AaunD2XVLRfy9dEW6t0+7l37bwCenzaUw8daqG3y8sgbO7lr9JnGr3zJhj2mObuPvLGTyjotIerFGcNMZwWLwLSlQ+hs5Q3IqI4As577kJdmDW/1c0iVnq+tSNXs2iVJqH/4TR4/lXVuHrrm26Z18h665ttMCqZwWoI1m70BlUNHW8JCbKC1iB23ZLPx2KIII/1St1ZX3jQEqyL49FCDITTQ76cITNM1rRbFNHoT2gXK549RYs0fP4ncYVXC0ksd6ZNlmSLtve06K/Rf4OFjmkqmd3en6ZfYO8R61S3o/TXNuOwWlk6qMAQEo8tLcFgV1s4cZlR0VYTgob9/FjaD3bXmY/5w/flGtEZHaaELT4z0gMcmnG8aUw6d5WxWc5VOayoa0AwTs87w6ejynk50SRLqsFkEiyYOwhKjMKTeEHHRxEGs3fKFsYT+4frzsVsFz9yk5QpXN3qNErvHE5OEab5HXZM3qnr/4kkVOK0W0/MtwtyoCZ3lrCGzbtgsGmdZ68zyrGTQJQ0T0GaBFr9mkTqs5u6RPKeV56cNxWVTGHRaEY+8oVVMsCqC/TXN3Pj0+0hE1H5szrrtFOXZWXBtuHxr6aQK3L6AYQXr7pQ/rt+F1SJMN+mxmnCH+g/dXnMXjdvbOpk6szwrGXTZmVDv3vnmjiomDzuNlZv3R7lHpo88A49fjTIohNAKSS6aOChmtKW6wcOf/7mXZVMGc6TJS59CF3kOC+6q2AlDZpv06oYWHr9hIHUhlVkLc21YxPFoR0BKbr+kHwvX7zb2mYmQKdOGSarQZUlot1rAr/n4bBYlZjrlI2/sNBKHvq53s2LTPn52+Tnk2Cw8+c5efnxJP9OlvNkb4EfD+3Lv2u1Gn5FuTjsl+f6YvjGzTbotmCIamiT12PXna7koEf7DR8cP4HevfWYU8YxHps4sz0oGXU7AoMPvV6lt8lDd6DUUzZHEWD19KN6ASkAFt9dPTaOXHrk2VCkpynXwkxc+4ldXnEOLTw3bjy2ZVIHbG+B3r31KdaOHeWP707dnDicX5OD3q+ysami1tG8oIWoaPVyzeFPU2F6cMYxf//U/UdKvB644F1sXJZMJ0lsuuCMRSUI9ZvroP3Yy66Jv0aubk5oGL7c+tzVsVinrkcMBkz4beU4rBS4b+2ubeXnbl0bV1Ry7tsdauWkfg04riirDW1qYY9w/kmxgXhO6IMfKsP/3dtR72nTfRewzKSt8enEuJ3U3z7Drgshstl06ocdMx1aUMXvVNtzeAL96+T9hG/vfvfYZHr9q6j/s5rShKJp8/5LyXvzxrd2cUZxrLO3fLe8dFr2Y9l+nYw8pgWsWeYgVx1VV89o0scoKm4kPTnR0yT2h7prQ80vMqie05h6pd/sM4cI5vfN58Or+xvJX09BCQUR9wYIcW5QsLNaYIu+lSnMntp7LYnb+Nw1dkoS6a8LoX/zuXlPf3dHg85H7sZoGD7ZgI0SX3RpmTHgDkqkm9QXjVR+NFcx32BR65TvDSN0r3xkzx8SRhqY3nR1d8h3rrgm96tamvbU8u/kAy6cO4Z17RrHipiF8+mU9+S4rS02qafXMs7Ny835TC7St1UdjBfMLnTbUiAYIKpJCl830/J65XSfSkSp0ScMEjhsHqqoSkBp5Aqrkf17dYeR+LJ1UwQf7avhWr26c1N2Fw6pgtypaQxpFMbVA2yODNzNYDh1rabWhYio7LHVCnJjyfh1mPjlVlTxw5XlMH+kOplfu55LyXjhtFlx2C727OeN+ye1xAJuNKZYz3B9QT5hsufaiy5LQDIoi6N3NyVG3jztWf0RlnZtNe2t5avIFCRFQv0YqHcCxSogk23DmREZGlmMhxKXAY4AF+JOU8qHWzk+233GqGwm2BxmqhtVZ0Dmd1UIIC7ALrZN8JfABMEFKuSPWa9radLuzwO9XqWr04A+oWC0KJXmObwIBoRPvCYcAn0sp9wIIIV5AKxkXk4RdHVarErPOYBaZcdH0AQ6GPK4MHsviG4pMzIRmU3TUnkAIMR2YHnzYKITYGee6PYGado4tnejs44PUj/F1KeWl8U7KBAkrgdBm3aXAV5EnSSmfBJ5M9KJCiC1SygvaP7z0oLOPDzI3xkwsxx8A/YQQfYUQduB6tJJxWXxD0eEzoZTSL4SYDbyB5qJ5Wkr5SUePI4vOg4w4q6WUrwGvpfiyCS/dGUJnHx9kaIxdInacxYmNb4THNIvOjS5FQiHEpUKInUKIz4PNeGKdN04IIYUQHW7pJTJGIcR4IcQOIcQnQohVnW2MQohThBBvCyG2CSG2CyEuT+uApJRd4g/NiNkDnA7YgY+BcpPz8oF3gfeACzrbGIF+wDa0blYAJZ1wjE8Ctwb/Lwf2p3NMXWkmNMJ9UkovoIf7IjEXeBho6cjBBZHIGKcBT8hgTz8pZcw2GhkcowS6Bf/vjokfN5XoSiSMG+4TQgwEyqSUr3TkwEKQSEjyTOBMIcRGIcR7QUVRRyKRMT4ATAp2XXgN+HE6B9SVSNhquE8IoQCPAnd12IiikUhI0oq2JI8CJgB/EkIURL4ojUhkjBOA5VLKUuBy4Jng55sWdCUSxgv35QPnARuEEPuBocBfO9g4SSQkWQm8LKX0SSn3ATvRSNlRSGSMNwNrAKSUmwEnWlw5PejITXE7N9RWYC/Ql+Mb6nNbOX8DHW+YxB0jcCmwIvh/T7SlsaiTjfHvwJTg/+egkVSkbUyZJleSH+DlaILYPcAvgsd+C1xpcm6HkzCRMaIth79H00/+G7i+E46xHNgYJOhHwOh0jicbMcki4+hKe8IsTlBkSZhFxpElYRYZR5aEWWQcWRJmkXFkSZgmBFU8C0Ie3y2EeCDk8XQhxGfBv/eFEN8JHrcIIbYKIUaGnPumECLpBuVdBVkSpg8e4BohRFSkQQgxBpgBfEdKeTYwE1glhOgtpQwAs4AnhBA2IcQEQEopX+zIwXcksiRMH/xokqifmjw3B7hHSlkDIKX8EFgB3BZ8/C9gE5qQ4Hf68RMVWRKmF08AE4UQ3SOOnwtsjTi2JXhcx8+AO4BVUsrP0zfEzCNLwjRCSnkMWAncnsDpgnA1y0jgKJoo44RGloTpxx/QVCm5Icd2ABUR5w0KHkcIkYsmzL0YKE67vD7DyJIwzZBSHkGTRd0ccvhhYJ4QoghACHE+MAVYFHz+V8AaKeVnaEbKo0IIZ4cNuoNxQhXJ7MRYAMzWH0gp/yqE6ANsEkJIoAGYJKX8WghRDlwNDAie+5EQ4g00Y+Y3HT/09COroski48gux1lkHFkSZpFxZEmYRcaRJWEWGUeWhFlkHFkSZpFxZEmYRcaRJWEWGcf/B97ccBJ4FFw9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%config InlineBackend.figure_format = 'png'\n",
    "for v, i, j in s_corr_list:\n",
    "    sns.pairplot(df, x_vars = cols[i], y_vars = cols[j])\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#sns.lmplot('RM', 'MEDV', data=data, hue = 'CHAS', fit_req = False);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#_, axes = plt.subplots(1, 2, sharey = True, figsize = (10, 4))\n",
    "#sns.boxplot(x = \"CHAS\", y = \"MEDV\", data = data, ax = axes[0])\n",
    "#sns.violinplot(x = \"CHAS\", y = \"MEDV\", data = data, ax = axes[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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